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Finding the Third Proportional to 546,912 and 839,520

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Solution

The third proportional to 546,912 and 839,520 is: 1,288,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,912 : 839,520 = 839,520 : x
  2. Step 2: Convert to fraction form
    546,912/839,520 = 839,520/x
  3. Step 3: Cross multiply
    546,912x = 839,520 × 839,520
  4. Step 4: Simplify right side
    546,912x = 704,793,830,400
  5. Step 5: Solve for x
    x = 704,793,830,400/546,912
  6. Step 6: Final answer
    x = 1,288,678.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.